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Finding the Third Proportional to 301,104 and 440,348.50

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Solution

The third proportional to 301,104 and 440,348.50 is: 643,986.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,104 : 440,348.50 = 440,348.50 : x
  2. Step 2: Convert to fraction form
    301,104/440,348.50 = 440,348.50/x
  3. Step 3: Cross multiply
    301,104x = 440,348.50 × 440,348.50
  4. Step 4: Simplify right side
    301,104x = 193,906,801,452.25
  5. Step 5: Solve for x
    x = 193,906,801,452.25/301,104
  6. Step 6: Final answer
    x = 643,986.14

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.